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Distributed fiber sparse-wideband vibration sensing by sub-Nyquist additive random sampling

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Abstract

The round-trip time of the light pulse limits the maximum detectable vibration frequency response range of phase-sensitive optical time domain reflectometry (ϕ-OTDR). Unlike the uniform laser pulse interval in conventional ϕ-OTDR, we randomly modulate the pulse interval so that an equivalent sub-Nyquist additive random sampling (sNARS) is realized for every sensing point of the long interrogation fiber. For a ϕ-OTDR system with 10 km sensing length, the sNARS method is optimized by theoretical analysis and Monte Carlo simulation, and the experimental results verify that a wideband sparse signal can be identified and reconstructed. Such a method can broaden the vibration frequency response range of ϕ-OTDR, which is of great significance in sparse-wideband-frequency vibration signal detection.

© 2018 Optical Society of America

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Supplementary Material (6)

NameDescription
Visualization 1       PSD spectra with different maximum sampling time interval factor kt.
Visualization 2       VPSD spectra with different AWG sampling rate fs-awg.
Visualization 3       PSD spectra with different sampling length N.
Visualization 4       PSD spectra with different analytical frequency resolution factor ka when N equals 1000.
Visualization 5       The signal reconstruction process. Upper figure: the PSD spectra of the sNRS signal residual. Black dots,
Visualization 6       The signal reconstruction process. Upper figure: the PSD spectra of the sNRS signal residual. Black dots,

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Equations (5)

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